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Finding the Third Proportional to 603,768 and 1,292,077.50

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Solution

The third proportional to 603,768 and 1,292,077.50 is: 2,765,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,768 : 1,292,077.50 = 1,292,077.50 : x
  2. Step 2: Convert to fraction form
    603,768/1,292,077.50 = 1,292,077.50/x
  3. Step 3: Cross multiply
    603,768x = 1,292,077.50 × 1,292,077.50
  4. Step 4: Simplify right side
    603,768x = 1,669,464,266,006.25
  5. Step 5: Solve for x
    x = 1,669,464,266,006.25/603,768
  6. Step 6: Final answer
    x = 2,765,075.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.